کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
10127574 1645057 2019 25 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A numerical bifurcation analysis of a dryland vegetation model
ترجمه فارسی عنوان
تجزیه و تحلیل بیوگرافی عددی یک مدل پوشش گیاهی خشک
کلمات کلیدی
شکل گیری الگو، پوشش گیاهی دشت، مدل واکنش-انتشار دوختن،
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی مکانیک
چکیده انگلیسی
The dryland vegetation model proposed by Rietkerk and collaborators has been explored in several previous studies. Our aim here is to explore in some detail the bifurcation phenomena present when the coefficients of the model are allowed to vary in a wide range of parameters. In addition to the primary bifurcation parameter, the precipitation, we allow the two infiltration rate parameters to vary as well. We find that these two parameters control the size and stability of inhomogeneous biomass states in a way that can be predicted. Further, they control when certain homogeneous and inhomogeneous (in space) periodic (in time) orbits exist. Finally, we show that the model possesses infinitely many unphysical steady state branches. We then present a modification of the model which eliminates these unphysical solutions, and briefly explore this new model for a fixed set of parameters.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Communications in Nonlinear Science and Numerical Simulation - Volume 68, March 2019, Pages 319-335
نویسندگان
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